Information on Result #2694966
Linear OOA(5140, 2796326, F5, 3, 15) (dual of [(2796326, 3), 8388838, 16]-NRT-code), using 51 times duplication based on linear OOA(5139, 2796326, F5, 3, 15) (dual of [(2796326, 3), 8388839, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(519, 125, F5, 3, 7) (dual of [(125, 3), 356, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(51, 25, F5, 3, 1) (dual of [(25, 3), 74, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(51, s, F5, 3, 1) for arbitrarily large s, using
- appending 2 arbitrary columns [i] based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(51, s, F5, 3, 1) for arbitrarily large s, using
- linear OOA(51, 25, F5, 3, 1) (dual of [(25, 3), 74, 2]-NRT-code) (see above)
- linear OOA(53, 25, F5, 3, 2) (dual of [(25, 3), 72, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(53, 31, F5, 3, 2) (dual of [(31, 3), 90, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(53, 31, F5, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
- appending kth column [i] based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- Hamming code H(3,5) [i]
- appending kth column [i] based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(53, 31, F5, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(53, 31, F5, 3, 2) (dual of [(31, 3), 90, 3]-NRT-code), using
- linear OOA(54, 25, F5, 3, 3) (dual of [(25, 3), 71, 4]-NRT-code), using
- linear OOA(510, 25, F5, 3, 7) (dual of [(25, 3), 65, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 10, 25)-net over F5, using
- linear OOA(51, 25, F5, 3, 1) (dual of [(25, 3), 74, 2]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(5120, 2796201, F5, 3, 15) (dual of [(2796201, 3), 8388483, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5120, large, F5, 15) (dual of [large, large−120, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OOA 3-folding [i] based on linear OA(5120, large, F5, 15) (dual of [large, large−120, 16]-code), using
- linear OOA(519, 125, F5, 3, 7) (dual of [(125, 3), 356, 8]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.